It looks like she used the sewing machine just to make button holes. you could also buy 30+ eyelets and  setting tool at a craft/fabric store for  few bucks, which would give you a more professional look and finish.

but HOW????? im srry, but im not exactly the worlds best sew-er

most sewing machines have a setting for making button holes, you'd change your stitch style (straight, zig zag, et ali) to the button hole setting, which is sometimes divided up into parts.
if you still have the owners manual for your sewing machine, it will go more into specifics if you don't, you can probably find a copy of it by searching google or the company's website.
as for the eyelets, those come with instructions and setting tool when you buy them. i usually get these: joann.com/joann/catalog/productdetail.jsp, though  they come in other colors and sizes, and once you have the setting tool, you can get the packs without it
hope I helped a bit :)
feel free to ask if you have any other questions

I haven't got access to a sewing machine or a craft store at the moment but I have a bunch of thread, needles, fabric, duct tape, a handful of medium sized zip ties, ribbon, a stapler, some glue, buttons, scissors, and a pocket knife. I added a corset style lacing to a dress I had that was a bit small this way. (Of course, not using ALL those things.) I was wondering if I could still make this with those things.

though if you were intent on an overbust there's also this tute: http://www.craftster.org/forum/index.php?topic=152585.0

you definitely could. for this tute, you'd only need the needles, thread, and fabric. but if you want the look of a more traditional, boned corset, I recommend you check out this tutorial here: http://www.craftster.org/forum/index.php?topic=122286.0

It'll take a lot of time and patience without a sewing machine, but it's doable. if you don't have grommets for the lacing, you can cut little slits in the fabric instead and use a buttonhole stitch to finish it up nicely, as seen here: http://imgs.embroiderersguild.com/stitch/stitches/imgs/buttonhole.gif